The Jacobins: Difference between revisions

Line 86:

== French deck ==

A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.29.31 subgroup, and tempers out the comma 2.29.31 [-5 -52 52], which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52.

A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.29.31 subgroup, and tempers out the comma 2.29.31 {{monzo|-5 -52 52}}, which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52.

Subgroup: 2.5.11.13.29.31

[[Subgroup]]: 2.5.11.13.29.31

Comma list: 6656/6655, 2177736704/2177265625, 17179869184/17174157715, 57949573168357/57940459520000

[[Comma list]]: 6656/6655, 2177736704/2177265625, 17179869184/17174157715, 57949573168357/57940459520000

Sval mapping: 52 1 197 124 475 480, 0 7 -1 4 -13 13

[[Sval mapping]]: [{{val|52 1 197 124 475 480}}, {{val|0 7 -1 4 -13 13}}]

Sval mapping generators: ~1460875/1441792, ~134560000/107132311

[[Sval mapping generators]]: ~1460875/1441792, ~134560000/107132311

Optimal tuning (CTE): ~134560000/107132311 = 394.757

[[Optimal tuning]] ([[CTE]]): ~134560000/107132311 = 394.757

Vals: 988, 1456, 2444, ...

Vals: {{EDOs|988, 1456, 2444}}, ...

[[Category:Commatic realms]]

[[Category:Jacobin]]

@@ Line 86: / Line 86: @@
 == French deck ==
-A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.29.31 subgroup, and tempers out the comma 2.29.31 [-5 -52 52], which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52.
+A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.29.31 subgroup, and tempers out the comma 2.29.31 {{monzo|-5 -52 52}}, which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52.
-Subgroup: 2.5.11.13.29.31
+[[Subgroup]]: 2.5.11.13.29.31
-Comma list: 6656/6655, 2177736704/2177265625, 17179869184/17174157715, 57949573168357/57940459520000
+[[Comma list]]: 6656/6655, 2177736704/2177265625, 17179869184/17174157715, 57949573168357/57940459520000
-Sval mapping: 52 1 197 124 475 480, 0 7 -1 4 -13 13
+[[Sval mapping]]: [{{val|52 1 197 124 475 480}}, {{val|0 7 -1 4 -13 13}}]
-Sval mapping generators: ~1460875/1441792, ~134560000/107132311
+[[Sval mapping generators]]: ~1460875/1441792, ~134560000/107132311
-Optimal tuning (CTE): ~134560000/107132311 = 394.757
+[[Optimal tuning]] ([[CTE]]): ~134560000/107132311 = 394.757
-Vals: 988, 1456, 2444, ...
+Vals: {{EDOs|988, 1456, 2444}}, ...
 [[Category:Commatic realms]]
 [[Category:Jacobin]]